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Problem 2: In vacuum, the E field of a plane EMag wave is given by Please determine: (a) The propagation vector (5pt) (b) o (5 pt) (c) The phase form of the H field; (10pt) Problem 2: In vac...
Problem 2: In vacuum, the E field of a plane EMag wave is given by Please...
Problem 2: In vacuum, the E field of a plane EMag wave is given by Please determine: (a) The propagation vector (5pt) (b) o (5 pt) (c) The phase form of the H field; (10pt)
ECE 336 Mid 1 (2020 spring) Name: In a non-magnetic medium (6-3), z<0, the E field...
ECE 336 Mid 1 (2020 spring) Name: In a non-magnetic medium (6-3), z<0, the E field component of an EMag wave given by: E = 10 cos(0-1-1/32 - x)a,, The wave oblique incidence to air at z 0. Please determine: (a) The polarization state of the oblique incidence (5pt) (b) The phaser form of the incident E field (5 pt) (c) (10pt) (d) The reflected E field (30 pt) (e) The transmitted H field (30 pt) (1) Assuming if we...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz +wt) ĉ +0 ġ+02 a) Determine the direction of propagation of the electromagnetic wave. b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave B. c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense? d) If the amplitude of the magnetic field was measured to be 2.5 *...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē = E,...
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
Determine the direction and speed of propagation of the magnetic field of a plane-polarized electromagnetic wave...
Determine the direction and speed of propagation of the
magnetic
field of a plane-polarized electromagnetic wave given by
in SI units. What is the frequency of the wave?
A. 500Mhz
B. 250 kHz
C. 1.25 MHz
D. 10 mHz
E. 300 MHz
(ofxt 05 ) , ੧੦੦,-01 x cl=ਬ
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wav...
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wavenumber, k, as a function of a, is given by the dispersion relationship ex ωε ωε where σ is the conductivity, μ is the permeability and ε is the permittivity of the conducting medium. (Hint: start with Maxwell's equations, and develop an equation of the form, V" E -k 2 E ). (3 marks) (b) Write down an expression for the physical electrical field...
4. (4.5 pts) Consider a 3D electromagnetic plane wave in vacuum, described in usual complex form...
4. (4.5 pts) Consider a 3D electromagnetic plane wave in vacuum, described in usual complex form by, (r, t) = Ēelkr-wt) in which ło = Epein/2y. Where k = -kx is the wave vector (assume k > 0) and w > 0 is the angular frequency. As usual, the real field is Er, t) = ReLEr, t)] (a) In which direction is the wave propagating? In terms of the given values k and w, what is the speed, wavelength, and...
P21.4. A time-harmonic plane wave with an rms value of the electric field vector E - 10 mV/m prop...
P21.4. A time-harmonic plane wave with an rms value of the electric field vector E - 10 mV/m propagates in a vacuum, and is normally incident on a screen that totally absorbs the energy of the wave. Find the absorbed energy per square meter of the screen in one hour. (a) Wabs 1.95m.J. (b) WJ. (c) Wabs0.95mJ. abs2.95 m.
P21.4. A time-harmonic plane wave with an rms value of the electric field vector E - 10 mV/m propagates in a...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of e...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of electric field intensity at z - 0 is 2 mV/m. a) Find the attenuation and phase constants, skin depth, phase velocity, wave impedance b) Express the electric and magnetic field intensities in time domain as a function of t and x, E(r,t) and H(x,/), where...
3. (10) Consider a left-circularly polarized harmonic plane wave in vacuum, with angular frequency w =...
3. (10) Consider a left-circularly polarized harmonic plane wave in vacuum, with angular frequency w = 3. 1015 Hz, and that propagates towards the i + + 2 direction. The magnetic field HF,t), at time t = 0 and at the origin, is H(0,0) = 132.7.(-) PA/m. Determine: (a) The wavevector k; (b) The polarization vector e of the magnetic field; (c) The complex magnetic field vector H(); (d) The complex electric-field vector ET).
Problem 2: In vacuum, the E field of a plane EMag wave is given by Please determine: (a) The propagation vector (5pt) (b) o (5 pt) (c) The phase form of the H field; (10pt)
ECE 336 Mid 1 (2020 spring) Name: In a non-magnetic medium (6-3), z<0, the E field component of an EMag wave given by: E = 10 cos(0-1-1/32 - x)a,, The wave oblique incidence to air at z 0. Please determine: (a) The polarization state of the oblique incidence (5pt) (b) The phaser form of the incident E field (5 pt) (c) (10pt) (d) The reflected E field (30 pt) (e) The transmitted H field (30 pt) (1) Assuming if we...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz +wt) ĉ +0 ġ+02 a) Determine the direction of propagation of the electromagnetic wave. b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave B. c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense? d) If the amplitude of the magnetic field was measured to be 2.5 *...
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
Determine the direction and speed of propagation of the
magnetic
field of a plane-polarized electromagnetic wave given by
in SI units. What is the frequency of the wave?
A. 500Mhz
B. 250 kHz
C. 1.25 MHz
D. 10 mHz
E. 300 MHz
(ofxt 05 ) , ੧੦੦,-01 x cl=ਬ
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wavenumber, k, as a function of a, is given by the dispersion relationship ex ωε ωε where σ is the conductivity, μ is the permeability and ε is the permittivity of the conducting medium. (Hint: start with Maxwell's equations, and develop an equation of the form, V" E -k 2 E ). (3 marks) (b) Write down an expression for the physical electrical field...
4. (4.5 pts) Consider a 3D electromagnetic plane wave in vacuum, described in usual complex form by, (r, t) = Ēelkr-wt) in which ło = Epein/2y. Where k = -kx is the wave vector (assume k > 0) and w > 0 is the angular frequency. As usual, the real field is Er, t) = ReLEr, t)] (a) In which direction is the wave propagating? In terms of the given values k and w, what is the speed, wavelength, and...
P21.4. A time-harmonic plane wave with an rms value of the electric field vector E - 10 mV/m propagates in a vacuum, and is normally incident on a screen that totally absorbs the energy of the wave. Find the absorbed energy per square meter of the screen in one hour. (a) Wabs 1.95m.J. (b) WJ. (c) Wabs0.95mJ. abs2.95 m.
P21.4. A time-harmonic plane wave with an rms value of the electric field vector E - 10 mV/m propagates in a...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of electric field intensity at z - 0 is 2 mV/m. a) Find the attenuation and phase constants, skin depth, phase velocity, wave impedance b) Express the electric and magnetic field intensities in time domain as a function of t and x, E(r,t) and H(x,/), where...
3. (10) Consider a left-circularly polarized harmonic plane wave in vacuum, with angular frequency w = 3. 1015 Hz, and that propagates towards the i + + 2 direction. The magnetic field HF,t), at time t = 0 and at the origin, is H(0,0) = 132.7.(-) PA/m. Determine: (a) The wavevector k; (b) The polarization vector e of the magnetic field; (c) The complex magnetic field vector H(); (d) The complex electric-field vector ET).
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